Well, I have already decided the type name is going to be "Seedship", similar to "Seeder Pod", which are colony drones. But I haven't figured out the class name, so keep them ideas coming! 
How about "Overseer Seed Ship" - maybe too simmilar to the Overlord Carrier? It should be something bombastic and powerful, we have Tyrant Battleship, Overlord Carrier, Sovereign Siege Ship, Wyrm Elite Battleship... "Queen" doesn't exactly fit into that. 
As for its ability to spawn frigates, it will only be able to spawn its own type of "neutered" drones, which are more like very large fighters than true frigates. This is to prevent abuse - the Xin drones are very dangerous, and since one of the key weaknesses of the Xin is their inability to move away from monolithic fronts and outmaneuver their enemies, having a capital ship which can double as a forward factory churning out drones would be unbalanced.
The Remnant will have exactly that however - a mobile ship factory for them handy flanking strikes. 